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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2016 Volume 187, Number 2, Pages 338–349 (Mi tmf9070)

This article is cited in 19 papers

Can Galileons support Lorentzian wormholes?

V. A. Rubakovab

a Physics Faculty, Lomonosov Moscow State University, Moscow, Russia
b Institute for Nuclear Research of the Russian Academy of Sciences, Moscow, Russia

Abstract: We discuss the possibility of constructing stable, static, spherically symmetric, asymptotically flat Lorentzian wormhole solutions in general relativity coupled to a generalized Galileon field $\pi$. Assuming that the Minkowski space–time is obtained at $\partial\pi=0$, we find that there is tension between the properties of the energy–momentum tensor required to support a wormhole (violation of the average null energy conditions) and stability of the Galileon perturbations about the putative solution (absence of ghosts and gradient instabilities). In three-dimensional space–time, this tension is strong enough to rule out wormholes with the above properties. In higher dimensions, including the most physically interesting case of four-dimensional space–time, wormholes, if any, must have fairly contrived shapes.

Keywords: wormhole, Galileon field.

Received: 08.10.2015

DOI: 10.4213/tmf9070


 English version:
Theoretical and Mathematical Physics, 2016, 187:2, 743–752

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